SOLUTION: Can you help me. I have an exam tomarrow. I forgot how to simplify radical expressions. One of the problems I am having trouble with is: 3?(2a^(7)b^(2)) ----------- --------

Question 73823: Can you help me. I have an exam tomarrow. I forgot how to simplify radical expressions. One of the problems I am having trouble with is:
3?(2a^(7)b^(2))
--------------------
(2) 3?(5x^(7)y)
(I do not know how to make cubed roots; the index is three.)
I know the answer is:
(y) 3?(150x)
--------------------
10x^(2)
please show me how
thank you so much!!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
simplify radical expressions. One of the problems I am having trouble with is:
3?(2a^(7)b^(2))
COMMENT: I assume this problem is "cube root of (2a^7 b^2)"
You want the cube root so separate the perfect cubes from the other factors,
as follows:
= (cube rt. of a^6)(cube rt. of 2ab^2)
Since the 1st factor is a perfect cube you have:
=a^2*(cube rt of 2ab^2)
--------------------
(2) 3?(5x^(7)y)
COMMENT: I assume this problem is "cube root of (5x^7 y)"
Break it up into perfect cube and "the rest", as follows:
=(cube rt. of x^6)*(cube rt of 5xy)
= x^2*(cube rt of 5xy)
==================
(I do not know how to make cubed roots; the index is three.)
I know the answer is:
(y) 3?(150x)
Where did you get that answer?? That is not the answer to
the problem you posted.
-----------
COMMENT:
I think you may not have posted your problems correctly.
--------------------
10x^(2) ???????????
==============
Cheers,
Stan H.

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